10th Class Mathematics Introduction to Trigonometry Values of Ratios

       Values of Ratios

1.      \[\text{sin}\theta \]: It always lies between -1 and 1

i.e. \[\text{-1}\le \text{sin}\theta \le 1\]

2.      \[\cos \theta \]: It always lies between -1 and 1

i.e. \[\text{-1}\le \cos \theta \le 1\]

3.      \[\tan \theta \]: It can take any value in between \[-\infty \]and\[\infty \].

i.e. \[-\infty \le \tan \theta \le \infty \]

4.      \[\cot \theta \]: It takes the any value in between \[-\infty \]and\[\infty \].

i.e. \[-\infty \le \cot \theta \le \infty \]

5.      \[\sec \theta \]: It can take any value except the values lies between -1 and 1.

i.e. \[\sec \theta \le -1\] and \[\sec \theta \ge 1\]

6.      \[co\sec \theta \]: It can take any value except the values lies between -1 and 1.

i.e. \[co\sec \theta \le -1\] and \[co\sec \theta \ge 1\]